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Finding the Fourth Proportional to 9,522.67, 14,280.66 and 2,857.18

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Solution

The fourth proportional to 9,522.67, 14,280.66 and 2,857.18 is: 4,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.67 : 14,280.66 = 2,857.18 : x
  2. Step 2: Convert to fraction form
    9,522.67/14,280.66 = 2,857.18/x
  3. Step 3: Cross multiply
    9,522.67x = 14,280.66 × 2,857.18
  4. Step 4: Simplify right side
    9,522.67x = 40,802,416.14
  5. Step 5: Solve for x
    x = 40,802,416.14/9,522.67
  6. Step 6: Final answer
    x = 4,284.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.